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We present a number of examples to illustrate the use of small quotientdessins as substitutes for their often much larger and more complicated Galois(minimal regular) covers. In doing so we employ several useful group-theoretictechniques, such as the Frobenius character formula for counting triples in afinite group, pointing out some common traps and misconceptions associated withthem. Although our examples are all chosen from Hurwitz curves and groups, theyare relevant to dessins of any type.

Hurwitz groups as monodromy groups of dessins: several examples